Generally, pulses are needed to investigate third order susceptibility in matter. When using CW laser, photothermal effects dominate. Mathematically speaking, changes in the refraction index due to gradients of temperature can be considered a third order effect. However, most of the authors consider it a K1 x K1 effect, since the signal is proportional to the first order of the intensity. If there is any other third order effect it will be probably be masked by the photothermal effects.
In conclusion, we should not deny that third order susceptibility effects can be detected using CW laser, the point is that they will be very difficult to see because of the presence of photo thermal effects.
Yes, we can because the third-order susceptibility composed from two-components: the real part which it depends on the third-order@@@@ refractive index which calculated from the parameters of closed aperture z-scan, and imaginary part which deepened on the absorption coefficient that measured from the parameters of open aperture z-scan whatever the kind of laser used pulsed laser or CW laser.
In the electronic transtions, there is general equation fir polarization related with the electric field and the susceptibility, there for in this case , can by the changing in the nonindex refraction &nanabsorption coefficients calculate this suscebtibility.
But in the photothermally which is obtainable by using CW lasers dont related with the main equation between E & P and susceptibility